Improper Integrals with the HP-15C LE & CE
11-19-2023, 03:59 AM
Post: #61
 Valentin Albillo Senior Member Posts: 1,042 Joined: Feb 2015
RE: Improper Integrals with the HP-15C LE & CE
(11-19-2023 01:11 AM)Namir Wrote:  Yes the HP Prime in CAS mode gives the anwer of 2!

No need for the "!", Namir, any CAS that wouldn't instantly deliver the 2 result would be fit for the garbage bin, as this integral is but a case of f(x) = xn for n = -1/2, which is as trivial to symbolically integrate as it gets, even by hand:

Integral of f(x) .dx = x-1/2+1/(-1/2+1) + C = 2*Sqrt(x) + C.

and upon substituting the integration limits you get 2*Sqrt(1) - 2*Sqrt(0) = 2*1 - 2*0 = 2.

Regards.
V.

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11-19-2023, 08:54 PM
Post: #62
 Namir Senior Member Posts: 949 Joined: Dec 2013
RE: Improper Integrals with the HP-15C LE & CE
The "!" character was part of the English sentence not the factorial operator.
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